53955000 has 240 divisors, whose sum is σ = 201029400. Its totient is φ = 12960000.

The previous prime is 53954977. The next prime is 53955001. The reversal of 53955000 is 55935.

It is a super-2 number, since 2×53955000² = 5822284050000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53955001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 494946 + ... + 495054.

Almost surely, 2^53955000 is an apocalyptic number.

53955000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100514700).

53955000 is an abundant number, since it is smaller than the sum of its proper divisors (147074400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53955000 is a wasteful number, since it uses less digits than its factorization.

53955000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 53955000 is about 7345.4067280172. The cubic root of 53955000 is about 377.8712923693.

The spelling of 53955000 in words is "fifty-three million, nine hundred fifty-five thousand".